Consider the curve defined by xy^2-2x^3=2 for y=>0See image for question Consider the curve defined by xy²-2x3 = 2 for Y zOdya) Show that dãニ2X Yb)D) Write an equation for the line tangent to the curve at the point(1, 2)C) Find the X- coordinate of the point P at which the linetangent totheCurveat P is hoYizonta Id) Find the Value ofdx?the point l, 2)at Consider the curve defined by xy²-2x³ = 2 for Y zOa) Show thatdy%3D6x²-y²2XYb)Write an equation for the line tangent to the curve at the point(1, 2)O Find theX - wordinate of the point P at which the linethecurveat P is hovizonta ltangent tod) Find the Value ofthe point l,2)at

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Answered: Consider the curve defined by…

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Consider the curve defined by xy^2-2x^3=2 for y=>0 See image for question

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 32E

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Question

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Consider the curve defined by xy^2-2x^3=2 for y=>0 See image for question

Consider the curve defined by xy²-2x3 = 2 for Y zO
dy
a) Show that dã
ニ
2X Y
b)
D) Write an equation for the line tangent to the curve at the point
(1, 2)
C) Find the X- coordinate of the point P at which the line
tangent to
the
Curve
at P is hoYizonta I
d) Find the Value of
dx?
the point l, 2)
at

Consider the curve defined by xy²-2x³ = 2 for Y zO
a) Show that
dy
%3D
6x²-y²
2XY
b)
Write an equation for the line tangent to the curve at the point
(1, 2)
O Find the
X - wordinate of the point P at which the line
the
curve
at P is hovizonta l
tangent to
d) Find the Value of
the point l,2)
at

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